David Levin

levin-at-tau.ac.il

Professor of Applied Mathematics
School of Mathematical Sciences
Tel-Aviv University, ISRAEL.

Major interests:

Subdivision
Moving Least Squares
Multivariate Approximation Methods
Numerical Integration
CAGD
Computer Graphics
Convergence Acceleration

Office:
Schrieber Building, Room 335
Dept. of Applied Mathematics
School of Mathematical Sciences
Tel-Aviv University
Tel-Aviv 69978, Israel
phone: +972-3-6409169, fax: +972-3-6409357

PAPERS

Recent papers:

Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters - ACHA, 2014 - with Nira Dyn, Ognyan Kounchev, Hermann Render

A subdivision regression model for data analysis - International Journal of Computer Mathematics, 2014 - with Sigalit Hed

Extension of functions - Advances in Quantum Chemistry, 2014

Shape Deformation via Interior RBF - IEEE Transactions on Visualization and Computer Graphics, 2014 - with Zohar Levy

Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis - Journal of Mathematics and Music, 2012 - with Sigalit Hed

Approximating piecewise-smooth function IMAJNA 2010 - with Yaron Lipman

Derivation and Analysis of Green Coordinates - Computational Methods and Function Theory - 2010 - with Yaron Lipman

Piecewise L-splines of order 4: Interpolation and L2 error bounds for splines in tension J. Approximation Theory - 2009 - with Ziv Ayalon and Nira Dyn

Green Coordinates SIGGRAPH 2008 - with Yaron Lipman and Danny Cohen-Or

Moving least-squares:

Data-Dependent MLS for Faitful Surface Approximation SGP 2007 - with Lipman and Cohen-Or (7 Mb)

Parametrization-free Projection for Surface Reconstruction Siggraph 2007 - with Lipman, Cohen-Or and Tal-Ezer (7 Mb)

Point-Set Surfaces Visualization 2001 - with M. Alexa, J. Behr, D. Cohen-Or, S. Fleishman and C.T. Silva

The approximation power of moving least-squares Math. Comp. Vol 67, No. 224, 1998, 1517-1531. (125 kb)

Stable integration rules with scattered integration points J. Comp. & Appl. Math., Vol. 112, 1999, 181-187. (237 kb)

Mesh-independent surface interpolation . In "Geometric Modeling for Scientific Visualization" Edited by Brunnett, Hamann and Mueller, Springer-Verlag, 2003, 37-49. (89 kb)

Oscillatory integrals, double-series, infinite products:

Analysis of a collocation method for integrating rapidly oscillatory functions J. Comp. & Appl. Math., Vol. 78, 1997, 131-138. (31 kb)

The d2-transformation for infinite double series and the D2-transformation for infinite double integrals (with Chen Greif) Math. Comp., Vol. 67, No. 222, 1998, 695-714. (72 kb)

Accelerating infinite products with Alan Cohen - in Numerical Algorithms 1999

Subdivision:

Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-based Interpolatory Schemes SIAM J. Math. Anal. 2007 with N. Dyn and J. Yoon

C2 Subdivision over triangulations with one extraordinary point CAGD 2005 - with Adi Levin, Avi Zulti and Mine Teicher

Subdivision Schemes as Attractors SGP 2005 - with S. Schaefer and R. Goldman

Analysis of quasi-uniform Subdivision ACHA 2003 - with Adi Levin

Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes Advances in Comp. Math., Vol. 11, 1999, 41-54 (49 kb)

Subdivision for C1 surface interpolation (with Nira Dyn and Sigalit Hed) (108 kb)

Piecewise uniform subdivision schemes (with Nira Dyn and John Gregory) (43 kb)

Analysis of Hermite-interpolatory subdivision schemes (with Nira Dyn) (37 kb)

The subdivision experience (with Nira Dyn) (63 kb)

Normals of the butterfly scheme surfaces and their applications, (N. Dyn, D. Levin and P. Shenkman), J. Comp. & Appl. Math., Vol. 102, 1999, 157-180.

Convexity preservation of the four-point interpolatory subdivision scheme (N. Dyn, F. Kuijt, D. Levin and R. van Damme)(abstract)

Interpolation by Dual Subdivision Schemes Proceedings of "Curves and Surfaces", St. Malo, 1999 (with Ilana Wartenberg)(343kb)

Progressive compression of arbitrary triangular meshes VIS99 (with Daniel Cohen-Or and Ophir Remez)(1.8 Mb)

Multidimensional reconstruction by set-valued approximation (oldies)

Guided multi-dimensional reconstruction from cross-sections (with Daniel Cohen-Or) (42 kb)

Morphing:

Green Coordinates Siggraph 2008 - with Lipman and Cohen-Or (7 Mb)

Linear Rotation-Invariant Coordinates for Meshes Siggraph 2005 - with Lipman, Sorkine and Cohen-Or (7 Mb)

Three dimensional distance field metamorphosis ACM Trans. on Computer Graphics Volume 17 (2), April 1998. (with Daniel Cohen-Or and Amira Solomovici) (1.8 Mb)

As-rigid-as-possible shape interpolation Siggraph 2000 - with Marc Alexa and Daniel Cohen-Or

Links:
Noam's book on Remote Sensing

Noam's home page

Salit home page

Adi's home page